Question
If the domain of the function f(x)= ^ -1 ( 2 x-5 11-3 x )+ ^ -1 (2 x^ 2 -3 x+1 ) is the interval [ , ], then +2 is equal to :
JEE Main
Mathematics
Inverse Trigonometric Functions
2026
JEE Main 2026 (21 January Shift 1)
JEE Main Mathematics Question (2026) — Solution
Options
- A. 3
- B. 5
- C. 1
- D. 2
Answer
A. 3
Step-by-step solution
For ^ -1 ( 2x-5 11-3x ): -1 2x-5 11-3x 1 gives x 16 5 or x > 6. For ^ -1 (2x^2 - 3x + 1): -1 2x^2 - 3x + 1 1. Lower bound always satisfied (discriminant Upper bound gives x(2x-3) 0, so 0 x 3 2 . Intersection of both conditions: [0, 3 2 ]. Thus = 0, = 3 2 . + 2 = 0 + 3 = 3.
Related: Mathematics — Inverse Trigonometric Functions · All PYQ Banks